The position of a particle is given by `r=3.0t hati - 2.0t^2 hatj + 4.0 hatk m` where tis in seconds and the coefficients have the proper units for r to be in metres:- Find the v and a of the particle?

The position of a particle is given by r=3.0t hati - 2.0t^2 hatj + 4.0 hatk m where tis in seconds and the coefficients have the proper units for r to be in metres:- What is the magnitude and direction of velocity of the particle at t = 2.0 s ?

The displacement of a particle is given by x = (t-2)^2 where x is in metres and t in seconds. The distance covered by the particle in first 4 seconds is

The motion of a particle of mass m is given by x = 0 for t 0), and x = 0 for t > (1/4) s. which of the following statements is true?/

If the position vectors of A and B respectively hati+3hatj-7hatk and 5 hati-2hatj+4hatk , then find AB

If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2hatj+4hatk) , then |PQ| is

A particle starts from the origin at t = 0 s with a velocity of 10.0 hatj m//s and moves in the x-y plane with a constant acceleration of (8.0hati + 2.0hatj) m s^-2 ,:- At what time is the x- coordinate of the particle 16 m? What is the y-coordinate of the particle at that time?

The two adjacent sides of a parallelogram are given by the vectors 2hati-4hatj+5hatk and hati-2hatj-3hatk Find a unit vector parallel to its diagonal (longer). Also find the area of parallelogram.

A particle starts from the origin at t = 0 s with a velocity of 10.0 hatj m//s and moves in the x-y plane with a constant acceleration of (8.0hati + 2.0hatj) m s^-2 ,:- What is the speed of the particle at the time ?